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Finding the Third Proportional to 578,470 and 1,200,677

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Solution

The third proportional to 578,470 and 1,200,677 is: 2,492,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,470 : 1,200,677 = 1,200,677 : x
  2. Step 2: Convert to fraction form
    578,470/1,200,677 = 1,200,677/x
  3. Step 3: Cross multiply
    578,470x = 1,200,677 × 1,200,677
  4. Step 4: Simplify right side
    578,470x = 1,441,625,258,329
  5. Step 5: Solve for x
    x = 1,441,625,258,329/578,470
  6. Step 6: Final answer
    x = 2,492,134.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.